23484819456 has 768 divisors, whose sum is σ = 87178291200. Its totient is φ = 6094061568.

The previous prime is 23484819437. The next prime is 23484819467. The reversal of 23484819456 is 65491848432.

23484819456 is a `hidden beast` number, since 2 + 34 + 84 + 81 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×23484819456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282949591 + ... + 282949673.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400).

Almost surely, 2^23484819456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23484819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43589145600).

23484819456 is an abundant number, since it is smaller than the sum of its proper divisors (63693471744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23484819456 is a wasteful number, since it uses less digits than its factorization.

23484819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 23484819456 in words is "twenty-three billion, four hundred eighty-four million, eight hundred nineteen thousand, four hundred fifty-six".